A and B started a new company. The investment of A was thrice to that of B and the period of investment of A is twice to that of B. B got Rs. 4000 as share in annual profit.The total profit at the end of the year. was

A garrison of 200 men has provision sufficient for 24 weeks. At the end of the first week a reinforcement of 80 men arrives and the ration per day of each man is then reduced from 900 grams to 750 grams. For how many days longer can they hold out?

38 weeks

21 weeks

138 days

128 days

Solution

There is provision for 23 weeks for 200 men at the rate of 900 gm/man /per day.
We are to find, how long will it last for 280 men when each man consumes 750 gm/day.
More men, less days, Less quantity, more days
\(\Rightarrow \frac{x}{23}=\frac{200}{280}\times \frac{900}{750}\)

\(\Rightarrow x=\frac{200\times 900\times 23}{280 \times 750}weeks\)

= 138 days

If 10 men or 18 boys can do a piece of work in 15 days. then 25 men and 15 boys together will do twice the work in